AI 中文总结
研究正则 T 对偶启发的黑洞轴向引力微扰，用高阶 WKB - Padé 方法计算准正则模等，通过时域演化验证主导模。发现开启零点长度时，特定引力模式频率实部增加、阻尼率变化有特点，且激发因子大小变化相对准正则频率较小。
AI 中文摘要
我们研究了由非局部、T 对偶启发的零点长度及相关引力自能产生的中性正则黑洞的轴向引力微扰。在此几何结构中，通常的点源被正则核心取代，零点长度控制与史瓦西极限的偏离。我们用高阶 WKB - Padé 方法计算了基本准正则模和几个泛音，并通过直接时域演化验证了主导模。当开启零点长度时，对于\(\ell = 2,3,4\)的引力模式，ADM 标度频率的实部增加，因此衰减振荡比在史瓦西极限中更快。阻尼率变化更平缓：最初略有增加，然后在本文考虑的最大变形值附近减小。这种行为与有效势一致，其势垒随变形参数增加而变高。我们还计算了相应的激发因子，发现其大小变化比准正则频率小得多。
英文摘要
We study axial gravitational perturbations of the neutral regular black hole generated by a non-local, T-duality-inspired zero-point length and the associated gravitational self-energy. In this geometry, the usual point source is replaced by a regular core, and the zero-point length controls the departure from the Schwarzschild limit. We compute the fundamental quasinormal modes and several overtones using high-order WKB--Padé methods, and we verify the dominant mode via direct time-domain evolution. When the zero-point length is turned on, the real parts of the ADM-scaled frequencies increase for the gravitational modes with $\ell=2,3,4$, so the ringdown oscillates faster than in the Schwarzschild limit. The damping rates change more gradually: they initially increase slightly and then decrease near the largest deformation values considered here. This behavior is consistent with the effective potential, whose barrier becomes higher as the deformation parameter increases. We also compute the corresponding excitation factors and find that their magnitudes vary much less strongly than the quasinormal frequencies.
Comments15 pages, 6 figures and 3 tables
Journal refJournal of High Energy Astrophysics 55, 100724 (2027)
DOI：10.1016/j.jheap.2026.100724
